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Finding the Fourth Proportional to 1,298.46, 1,947.96 and 432.75

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Solution

The fourth proportional to 1,298.46, 1,947.96 and 432.75 is: 649.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.46 : 1,947.96 = 432.75 : x
  2. Step 2: Convert to fraction form
    1,298.46/1,947.96 = 432.75/x
  3. Step 3: Cross multiply
    1,298.46x = 1,947.96 × 432.75
  4. Step 4: Simplify right side
    1,298.46x = 842,979.69
  5. Step 5: Solve for x
    x = 842,979.69/1,298.46
  6. Step 6: Final answer
    x = 649.21

Related Problems

Find fourth proportional to 649.23, 973.98 and 216.38
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.